The point I was making is that at t=0 the electron is on one side; at T=delta t it is on the other side. As delta t tends to zero the rate of
change of charge dQ/dt tends to infinity.
The instant the electron clears the starting gate the charge goes from nil to about 10^-16C. That happens in zero time, at one instant it's on
one side, the next instant, its on the other. The time interval is vanishingly small so the current dQ/dt is infinite.
The average current over any practical time scale is small, but the instantaneuos cuurent is infinite*. There's a matematical function to
describe this called something like "Kroneker's Delta" an infinitely narrow, infinitely high spike with unit area.
...[Edited on 3-9-2005 by unionised] |